Classical properties and semiclassical quantisation of a spherical nuclear potential

Carbonell, J.; Brut, F.; Arvieu, R.; Touchard, J.

doi:10.1088/0305-4616/11/3/011

Cited by 18 publications

(14 citation statements)

References 21 publications

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“…Moreover, 4N systems have become increasingly important as testing grounds for models of the nuclear force. While not the nuclear-structure "imbroglio" of heavy nuclei, the A = 4 system is the simplest system that presents the complexity -thresholds and resonances -that characterize nuclear systems, and therefore is a very good testing ground of modern few-body techniques [1]. Similarly, since the 4N bound state is (to a very good approximation) a (J π , T ) = (0 + , 0) state, it is a good "laboratory" for the study of the strange quark components of the nucleon via parity-violating electron-scattering experiments [2].…”

Section: Introductionmentioning

confidence: 99%

Proton-He3elastic scattering at low energies

et al. 2006

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We present new accurate measurements of the differential cross section σ(θ) and the proton analyzing power Ay for proton-3 He elastic scattering at various energies. A supersonic gas jet target has been employed to obtain these low energy cross section measurements. The σ(θ) distributions have been measured at Ep = 0.99, 1.59, 2.24, 3.11, and 4.02 MeV. Full angular distributions of Ay have been measured at Ep = 1.60, 2.25, 3.13, and 4.05 MeV. This set of high-precision data is compared to four-body variational calculations employing realistic nucleon-nucleon (N N ) and threenucleon (3N ) interactions. For the unpolarized cross section the agreement between the theoretical calculation and data is good when a 3N potential is used. The comparison between the calculated and measured proton analyzing powers reveals discrepancies of approximately 50% at the maximum of each distribution. This is analogous to the existing "Ay Puzzle" known for the past 20 years in nucleon-deuteron elastic scattering.

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Section: Introductionmentioning

confidence: 99%

Proton-He3elastic scattering at low energies

et al. 2006

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“…On the other hand, relativistic impulse approximation partially includes two body currents. Recently, this has been shown explicitly in the context of the light front approach to the two nucleon system [5]. Here we consider the covariant approach and like to offer a motivation why the two body currents are related to the P -wave components which are not present in the nonrelativistic treatment.…”

Section: Non-relativistic Interpretation and The Pair Currentmentioning

confidence: 99%

“…The disintegration process is usually described within a non-relativistic framework including relativistic corrections. Only one investigation is known to have used a relativistic description of the process considered here in the framework of light front dynamics [5].…”

Section: Introductionmentioning

confidence: 99%

Final state interaction effects in electrodisintegration of the deuteron in the Bethe-Salpeter approach

2012

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In the framework of the covariant Bethe-Salpeter formalism we calculate the amplitude of electrodisintegration of the deuteron near the threshold energy. Due to the small relative momentum of the final np-pair, the deuteron break-up process may be sufficiently described by a transition to the dominant 1 S0 channel into the final state. Therefore only one unknown structure function (form factor) exists. The explicit formula for this form factor is given in terms of partial Bethe-Salpeter amplitudes. We compare our result to the usual non-relativistic calculations. The essential role of P -states as well as their possible link to mesonic exchange currents is discussed. : 21.45.+v, 25.30.Fj, 24.10.Jv PACS

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“…By using the BP potential whose radial profile is essentially equivalent to the WS potential, one can consider semiclassical quantization without being concerned about the singularity in classical orbits [16,17]. For small A, the inner region (r < R A ) of these potentials can be approximated by a harmonic oscillator (HO).…”

Section: A Definition Of the Modelmentioning

confidence: 99%

Periodic-orbit approach to nuclear shell structures with power-law potential models: Bridge orbits and prolate-oblate asymmetry

Arita

2012

Phys. Rev. C

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Deformed shell structures in nuclear mean-field potentials are systematically investigated as functions of deformation and surface diffuseness. As the mean-field model to investigate nuclear shell structures in a wide range of mass numbers, we propose the radial power-law potential model, V ∝ r α , which enables us a simple semiclassical analysis by the use of its scaling property. We find that remarkable shell structures emerge at certain combinations of deformation and diffuseness parameters, and they are closely related to the periodicorbit bifurcations. In particular, significant roles of the "bridge orbit bifurcations" for normal and superdeformed shell structures are pointed out. It is shown that the prolate-oblate asymmetry in deformed shell structures is clearly understood from the contribution of the bridge orbit to the semiclassical level density. The roles of bridge orbit bifurcations in the emergence of superdeformed shell structures are also discussed.

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Classical properties and semiclassical quantisation of a spherical nuclear potential

Cited by 18 publications

References 21 publications

Proton-He3elastic scattering at low energies

Proton-He3elastic scattering at low energies

Final state interaction effects in electrodisintegration of the deuteron in the Bethe-Salpeter approach

Periodic-orbit approach to nuclear shell structures with power-law potential models: Bridge orbits and prolate-oblate asymmetry

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